Consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
Consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
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史瓦西几何圆形轨道的引力自力的结果
DOI：
10.1103/physrevd.77.124026
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发表时间：
2008
影响因子：
5
通讯作者：
S. Detweiler
中科院分区：
文献类型：
--
作者：
S. Detweiler
一个小质量{mu}在一个质量大得多的黑洞m的轨道上沿着沿着一条世界线运动，该世界线偏离黑洞几何的测地线O（{mu}/m）。据说这种偏差是由度规微扰h{sub ab}与{mu}的引力自重引起的。对于一个非旋转黑洞的圆形轨道，我们数值计算O（{mu}/m）的影响后的轨道频率和通过速度的世界线上的适当的时间。这两种效应与h{sub ab}的规范选择无关，原则上是可观察的。对于遥远的轨道，我们的数值结果同意后牛顿分析，包括条款的顺序（v/c）{sup 6}。
A small mass {mu} in orbit about a much more massive black hole m moves along a world line that deviates from a geodesic of the black hole geometry by O({mu}/m). This deviation is said to be caused by the gravitational self-force of the metric perturbation h{sub ab} from {mu}. For circular orbits about a nonrotating black hole we numerically calculate the O({mu}/m) effects upon the orbital frequency and upon the rate of passage of proper time on the world line. These two effects are independent of the choice of gauge for h{sub ab} and are observable in principle. For distant orbits, our numerical results agree with a post-Newtonian analysis including terms of order (v/c){sup 6}.